Characterizations of input-to-state stability for hybrid systems

Keywords

Mathematics, Convexity, Equivalence (formal languages), Lyapunov function, Differential equation

References

• Hybrid systems: Generalized solutions and robust stabilityRafal Goebel, João P. Hespanha, Andrew R. Teel — 2004
• Nonlinear Control Systems IIAlberto Isidori — 1999
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• Relaxation Results for Hybrid InclusionsChaohong Cai, Rafal Goebel, Andrew R. Teel — 2008
• Lyapunov conditions for input-to-state stability of impulsive systemsJoão P. Hespanha, Daniel Liberzon, Andrew R. Teel — 2008
• On converse Lyapunov theorems for ISS and iISS switched nonlinear systemsJ.L. Mancilla-Aguilar, Rafael García — 2001
• Solutions to hybrid inclusions via set and graphical convergence with stability theory applicationsRafal Goebel, Andrew R. Teel — 2006
• Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact SetsChaohong Cai, Rafal Goebel — 2008
• New characterizations of input-to-state stabilityEduardo D. Sontag, Yuan Wang — 1996
• On hybrid controllers that induce input-to-state stability with respect to measurement noiseRicardo G. Sanfelice, Andrew R. Teel — 2005
• A Smooth Converse Lyapunov Theorem for Robust StabilityYuandan Lin, Eduardo D. Sontag, Yuan Wang — 1996
• Results on input-to-state stability for hybrid systemsChaohong Cai, Andrew R. Teel — 2005
• A converse Lyapunov theorem for discrete-time systems with disturbancesZhong‐Ping Jiang, Yuan Wang — 2002
• A smooth Lyapunov function from a class- KL estimate involving two positive semidefinite functionsAndrew R. Teel, Laurent Praly — 2000
• On characterizations of the input-to-state stability propertyEduardo D. Sontag, Yüan Wang — 1995
• Nonlinear and Optimal Control TheoryAndrei Agrachev, A. Stephen Morse, Eduardo D. Sontag — 2008
• Input-to-state stability for discrete-time nonlinear systemsZhong‐Ping Jiang, Eduardo D. Sontag, Yuan Wang — 1999
• A Smooth Lyapunov Function from a Class-kl Estimate Involving Two Positive Semideenite FunctionsA. Teel, L. Praly — 1999

Cited by

• Tracking Control of a Class of Cyber-Physical Systems via a FlexRay Communication Network政秀 乾 — 2019
• Lyapunov techniques for a class of hybrid systems and reset controller syntheses for continuous-time plantsF. Fichera — 2013
• Techniques Lyapunov pour une classe de systèmes hybrides et synthèses de contrôleurs à réinitialisationF. Fichera — 2013
• Integral input-to-state stability for interconnected hybrid systemsNavid Noroozi, Alireza Khayatian — 2015
• Input-to-state stability for a class of nonlinear switched systems by minimum dwell time methodRongwei Guo, Yuzhen Wang — 2012
• Event-e-ISS for discrete-time impulsive dynamical networksBin Liu, Zhijie Sun, Dongnan Liu — 2015
• Averaging of hybrid dynamical systems with disturbancesWei Wang, Dragan Nešić, Andrew R. Teel — 2011
• Exponential ISS properties for impulsive interconnected systemsBin Liu, Qiong Tang, Shenping Xiao — 2010
• A Notion of Robustness for Cyber-Physical SystemsMatthias Rungger, Paulo Tabuada — 2013
• Interval exponential input-to-state stability for switching impulsive systems with application to hybrid control for micro-gridsBin Liu, David J. Hill — 2015
• Input‐to‐state‐stability‐type comparison principles and input‐to‐state stability for discrete‐time dynamical networks with time delaysBin Liu, Chengjie Xu, Dongnan Liu — 2013
• Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamicsXi‐Ming Sun, Wei Wang — 2012
• ISS of interconnected impulsive systems with and without time-delaysSergey Dashkovskiy, Michael Kosmykov, Lars Naujok — 2010
• Mean-square Exponential Input-to-state Stability of Euler-Maruyama Method Applied to Stochastic Control SystemsQiao Zhu, Guang‐Da Hu, Li Zeng — 2010
• A Note on Stabilization for a Class of Minimum Phase Hybrid SystemsAndrew R. Teel, Lorenzo Marconi — 2010
• Mean square input-to-state stability of a general class of stochastic recurrent neural networks with Markovian switchingYong Xu, Weiwei Luo, Kai Zhong — 2014
• Gronwall inequality for hybrid systemsNavid Noroozi, Dragan Nešić, Andrew R. Teel — 2014
• Input-to-state stability for switched systems with unstable subsystems: A hybrid Lyapunov constructionGuosong Yang, Daniel Liberzon — 2014
• Robust Finite-Time Parameter Estimation Using a Hybrid Systems FrameworkMatthew Hartman, N.W. Bauer, Andrew R. Teel — 2012
• Alternative stability conditions for hybrid systemsSergey Dashkovskiy, Ratthaprom Promkam — 2013

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